ISRO Electronics & Communication (ECE) 2011 - Question 49

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Topic: Mathematics

If $\alpha$ and $\beta$ are the roots of the equation $x^{2}-px+q=0$, then $\Sigma\alpha^{2}$ is

  • A. $p^{2}+2q$
  • B. $p+2q$
  • C. $p^{2}-2q$
  • D. $p-2q$

Answer: C. $p^{2}-2q$

Explanation: $x^{2}-px+q=0$. $\alpha^{2}+\beta^{2}=(\alpha+\beta)^{2}-2\alpha\beta = p^{2}-2q$.

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